Exam 8: More Number Theory

The procedure TEST takes a candidate integer n as input and returns the result __________ if n may or may not be a prime.

An area of ongoing research is the development of efficient algorithms for determining if a randomly chosen large integer is a prime number.

To determine whether an odd integer n is prime with a reasonable degree of confidence repeatedly invoke TEST n)using randomly chosen values for a.If,at any point,TEST returns _________ then n is determined to be nonprime.

The Chinese Remainder Theorem is believed to have been discovered by the Chinese mathematician Agrawal in 100 A.D.

The _________ of integers a and b,expressed gcd a,b),is an integer c that divides both a and b without remainder and that any divisor of a and b is a divisor of c.